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\frac{2y}{5}=\frac{174}{3010}
Divide both sides by 3010.
\frac{2y}{5}=\frac{87}{1505}
Reduce the fraction \frac{174}{3010} to lowest terms by extracting and canceling out 2.
2y=\frac{87}{1505}\times 5
Multiply both sides by 5.
2y=\frac{87\times 5}{1505}
Express \frac{87}{1505}\times 5 as a single fraction.
2y=\frac{435}{1505}
Multiply 87 and 5 to get 435.
2y=\frac{87}{301}
Reduce the fraction \frac{435}{1505} to lowest terms by extracting and canceling out 5.
y=\frac{\frac{87}{301}}{2}
Divide both sides by 2.
y=\frac{87}{301\times 2}
Express \frac{\frac{87}{301}}{2} as a single fraction.
y=\frac{87}{602}
Multiply 301 and 2 to get 602.